Abstract

We propose a three-dimensional (3D) holographic display by converting an optically recorded complex full-parallax (FP) hologram to an off-axis horizontal-parallax-only (HPO) hologram. First, we record the complex FP hologram of an object using optical scanning holography. We then convert the complex FP hologram to an off-axis HPO hologram through fringe-matched Gaussian low-pass filtering and with the introduction of an off-axis reference. Finally, we reconstruct the off-axis HPO hologram optically using an amplitude-only spatial light modulator. Until now, only computer-generated HPO holograms have been displayed optically. To the best of our knowledge, this is the first demonstration of a 3D display of an optically recorded HPO hologram.

© 2011 Optical Society of America

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References

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2009 (3)

2008 (2)

2007 (1)

T. Yamaguchi, G. Okabe, and H. Yoshikawa, “Real-time image plane full-color and full-parallax holographic video display system,” Opt. Eng. 46, 125801 (2007).
[CrossRef]

2005 (1)

2004 (1)

M. Stanley, M. A. Smith, A. P. Smith, P. J. Watson, S. D. Coomber, C. D. Cameron, C. W. Slinger, and A. D. Wood, “3D electronic holography display system using a 100-megapixel spatial light modulator,” Proc. SPIE 5249, 297–308 (2004).
[CrossRef]

2002 (2)

2000 (1)

1992 (1)

1985 (1)

1963 (1)

1962 (1)

Akin, T.

Benton, S. A.

Cameron, C. D.

M. Stanley, M. A. Smith, A. P. Smith, P. J. Watson, S. D. Coomber, C. D. Cameron, C. W. Slinger, and A. D. Wood, “3D electronic holography display system using a 100-megapixel spatial light modulator,” Proc. SPIE 5249, 297–308 (2004).
[CrossRef]

Coomber, S. D.

M. Stanley, M. A. Smith, A. P. Smith, P. J. Watson, S. D. Coomber, C. D. Cameron, C. W. Slinger, and A. D. Wood, “3D electronic holography display system using a 100-megapixel spatial light modulator,” Proc. SPIE 5249, 297–308 (2004).
[CrossRef]

Godo, H.

Hilaire, P. S.

Horiuchi, M.

Indebetouw, G.

Ito, T.

Kim, T.

Kim, W. S.

Kim, Y. S.

Leith, E. N.

Lucente,

Lucente, “Diffraction-specific fringe computation for electro-holography,” Ph.D. dissertation, Program in Electrical Engineering and Computer Science (Massachusetts Institute of Technology1994).

Lucente, M.

Okabe, G.

T. Yamaguchi, G. Okabe, and H. Yoshikawa, “Real-time image plane full-color and full-parallax holographic video display system,” Opt. Eng. 46, 125801 (2007).
[CrossRef]

Poon, T.-C.

Rosen, J.

Schilling, B. W.

Shaked, N. T.

Shimobaba, T.

Shinoda, K.

Slinger, C. W.

M. Stanley, M. A. Smith, A. P. Smith, P. J. Watson, S. D. Coomber, C. D. Cameron, C. W. Slinger, and A. D. Wood, “3D electronic holography display system using a 100-megapixel spatial light modulator,” Proc. SPIE 5249, 297–308 (2004).
[CrossRef]

Smith, A. P.

M. Stanley, M. A. Smith, A. P. Smith, P. J. Watson, S. D. Coomber, C. D. Cameron, C. W. Slinger, and A. D. Wood, “3D electronic holography display system using a 100-megapixel spatial light modulator,” Proc. SPIE 5249, 297–308 (2004).
[CrossRef]

Smith, M. A.

M. Stanley, M. A. Smith, A. P. Smith, P. J. Watson, S. D. Coomber, C. D. Cameron, C. W. Slinger, and A. D. Wood, “3D electronic holography display system using a 100-megapixel spatial light modulator,” Proc. SPIE 5249, 297–308 (2004).
[CrossRef]

Stanley, M.

M. Stanley, M. A. Smith, A. P. Smith, P. J. Watson, S. D. Coomber, C. D. Cameron, C. W. Slinger, and A. D. Wood, “3D electronic holography display system using a 100-megapixel spatial light modulator,” Proc. SPIE 5249, 297–308 (2004).
[CrossRef]

Suzuki, Y.

Upatnieks, J.

Watson, P. J.

M. Stanley, M. A. Smith, A. P. Smith, P. J. Watson, S. D. Coomber, C. D. Cameron, C. W. Slinger, and A. D. Wood, “3D electronic holography display system using a 100-megapixel spatial light modulator,” Proc. SPIE 5249, 297–308 (2004).
[CrossRef]

Wood, A. D.

M. Stanley, M. A. Smith, A. P. Smith, P. J. Watson, S. D. Coomber, C. D. Cameron, C. W. Slinger, and A. D. Wood, “3D electronic holography display system using a 100-megapixel spatial light modulator,” Proc. SPIE 5249, 297–308 (2004).
[CrossRef]

Wu, M. H.

Yamaguchi, T.

T. Yamaguchi, G. Okabe, and H. Yoshikawa, “Real-time image plane full-color and full-parallax holographic video display system,” Opt. Eng. 46, 125801 (2007).
[CrossRef]

Yoshikawa, H.

T. Yamaguchi, G. Okabe, and H. Yoshikawa, “Real-time image plane full-color and full-parallax holographic video display system,” Opt. Eng. 46, 125801 (2007).
[CrossRef]

Am. J. Phys. (1)

T.-C. Poon, “On the fundamentals of optical scanning holography,” Am. J. Phys. 76, 738–745 (2008).
[CrossRef]

Appl. Opt. (2)

J. Inf. Display (1)

T.-C. Poon, “Three-dimensional television using optical scanning holography,” J. Inf. Display 3, 12–16 (2002).
[CrossRef]

J. Opt. Soc. Am. (2)

J. Opt. Soc. Am. A (2)

J. Opt. Soc. Korea (1)

Opt. Eng. (1)

T. Yamaguchi, G. Okabe, and H. Yoshikawa, “Real-time image plane full-color and full-parallax holographic video display system,” Opt. Eng. 46, 125801 (2007).
[CrossRef]

Opt. Express (1)

Opt. Lett. (3)

Proc. SPIE (1)

M. Stanley, M. A. Smith, A. P. Smith, P. J. Watson, S. D. Coomber, C. D. Cameron, C. W. Slinger, and A. D. Wood, “3D electronic holography display system using a 100-megapixel spatial light modulator,” Proc. SPIE 5249, 297–308 (2004).
[CrossRef]

Other (1)

Lucente, “Diffraction-specific fringe computation for electro-holography,” Ph.D. dissertation, Program in Electrical Engineering and Computer Science (Massachusetts Institute of Technology1994).

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Figures (7)

Fig. 1
Fig. 1

Optical scanning holography (M, mirror; AOM, acousto-optic modulator; BS1,2, beam splitters; BE1,2, beam expanders; L, focusing lens; ⊗, electronic multiplexer; LPF, low-pass filter; PC, personal computer).

Fig. 2
Fig. 2

Flow chart for off-axis HPO real hologram conversion.

Fig. 3
Fig. 3

Reconstruction stage with amplitude-only SLM (PC, personal computer; AL, analyzer; SLM, spatial light modulator; BS, beam splitter; PL, polarizer; SP, spatial filter).

Fig. 4
Fig. 4

(a) Amplitude part of FP complex hologram; (b) phase part of the FP complex hologram.

Fig. 5
Fig. 5

Off-axis HPO real hologram.

Fig. 6
Fig. 6

(a) Reconstructed image at the location of the front slide with the off-axis real HPO hologram; (b) reconstructed image at the location of the back slide with the off-axis real HPO hologram.

Fig. 7
Fig. 7

(a) Reconstructed image at the location of the front slide with the on-axis HPO hologram; (b) reconstructed image at the location of the back slide with the on-axis HPO hologram.

Equations (7)

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H full ( x , y ) = i r ( x , y ; z ) j i i ( x , y ; z ) = z 0 Δ z z 0 + Δ z I o ( x , y ; z ) j λ z exp { ( π NA 2 z 2 + j π λ z ) ( x 2 + y 2 ) } d z ,
H HPO ( x , y ) = z 0 Δ z z 0 + Δ z I 0 ( x , y ; z ) j λ z exp [ ( π NA 2 z 2 + j π λ z ) x 2 π NA l p 2 z 2 y 2 ] d z ,
G FM - GLF ( k x , k y ) = exp [ 1 4 π ( λ NA g ) 2 k y 2 ] exp ( j λ z 0 4 π k y 2 ) ,
H HPO ( x , y ) = F 1 [ F { H full ( x , y ) } G FM - GLF ( k x , k y ) ] = z o Δ z z o + Δ z I o ( x , y , z ) j λ z exp [ ( π NA 2 z 2 + j π λ z ) x 2 π NA l p 2 z 2 y 2 ] d z ,
R = N HPO N Full = NA l p NA .
H HPO spatial carrier ( x , y ) = | H HPO | exp ( j H HPO ) × exp ( j 2 π sin θ λ x ) = | H | exp [ j ( H HPO + 2 π sin θ λ x ) ] ,
H HPO off-axis ( x , y ) = Re [ H HPO spatial carrier ( x , y ) ] + d c = | H HPO spatial carrier | cos ( H HPO + 2 π sin θ λ x ) + d c ,

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